If you throw a trillion dice, each face comes up almost precisely one sixth of the time. In this case, the width of the distribution shrinks rather than grows with the number of random variables you add up.
Given a button that instantaneously inverts the momentum of every air molecule, how confident are you that pressing the button changes the outcome of the 2028 US presidential election?
If you throw a trillion dice, each face comes up almost precisely one sixth of the time. In this case, the width of the distribution shrinks rather than grows with the number of random variables you add up.